Discrete-time Decoupling of Dynamical Subsystems Through Input-Output Blending

Baár, Tamás and Bauer, Péter and Luspay, Tamás (2020) Discrete-time Decoupling of Dynamical Subsystems Through Input-Output Blending. In: IFAC World Congress, 2020.07.11-2020.07.17, Virtual (Berlin, Germany).

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Abstract

This paper presents a subsystem decoupling method for Linear Time Invariant Discrete-time systems. This allows that a selected subsystem can be controlled in a way which does not affect the remaining modes. Decoupling is achieved by suitable input and output blend vectors, such that they maximize the sensitivity of the selected mode, while at the same time they minimize the transfer through the undesired dynamics. The proposed algorithm is based on an optimization problem involving Linear Matrix Inequalities, where the H− index of the controlled subsystem is maximized, while the transfer through the undesired dynamics is minimized by a sparsity like criteria. The present approach has the advantage that it is directly applicable to stable and unstable subsystems also. Numerical examples demonstrate the effectiveness of the method. The paper extends earlier continuous time results to discrete time systems over a finite frequency interval.

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